Write an explicit formula for the sequence 7, 1, -5, -11, -17,... Then find a14

Question

17-05-2017
Mathematics

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Write an explicit formula for the sequence 7, 1, -5, -11, -17,... Then find a14

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FLORC FLORC · Answer 1 · 2017-05-17T01:36:31+02:00

FLORC FLORC

17-05-2017

an=a1+d (n-1)
a1= 7
find d
Let's use a2
a2=1
1=7+d (2-1)
1=7+d
-7 both sides
d=-6
explicit formula is

an=7+-6 (n-1)

a14=?
a14=7-6 (14-1)
a14=7-6×13
a14=7-78
a14=-71

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